1. Math Angles Note 1
Definition: An angle is created when a half-ray (initial side) is rotated around a point (the vertex) and stops at a new location (the terminal side)
Terminal side
vertex
Initial Side

2. Math Angles Note 2
Angles are measured using two different measuring units:
Degrees: 360 degrees in one circle
Radians: 2 p radians in one circle
2 p radians = 360 degrees
2 p = p radians = 180 degrees

3. Math Angles Note 3

4. Math Angles Note 4

5. Math Angles Note 5

6. Math Angles Note 6

7. Math 131 4.1 Angles Note 7 Special Types of Angles
coterminal: share the same initial and terminal sides
complementary: sum of the measures of two positive angles is 90 degrees (or p radians)
supplementary: sum of the measures of two positive angles is 180 degrees ( or 2 p radians)

8. Math Angles Note 8

9. Math Angles Note 9

10. Math Angles Note 10